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Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems
Názov Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems Autor Battelli Flaviano Spoluautori Fečkan Michal 1960 SAVMATEM - Matematický ústav SAV Zdroj.dok. Physica D: Nonlinear Phenomena. vol. 241, no. 22 (2012), p. 1962-1975 Jazyk dok. eng - angličtina Krajina US - Spojené štáty Druh dok. rozpis článkov z periodík (rbx) Ohlasy MAKARENKOV, O. - LAMB, J.S.W. Dynamics and bifurcations of nonsmooth systems: A survey. In Physica D: Nonlinear Phenomena, 2012, 241, 22, pp. 1826-1844. GRANADOS, A., HOGAN, S.J., SEARA, T.M. The melnikov method and subharmonic orbits in a piecewise-smooth system. In SIAM Journal on Applied Dynamical Systems, 2012, Vol. 11, pp. 801-830. CARMONA, Victoriano - FERNANDEZ-GARCIA, Soledad - FREIRE, Emilio - TORRES, Francisco. Melnikov theory for a class of planar hybrid systems. In PHYSICA D-NONLINEAR PHENOMENA. ISSN 0167-2789, 2013, vol. 248, no. 1, pp. 44-54. DU, Zhengdong - LI, Yurong - SHEN, Jun - ZHANG, Weinian. Impact oscillators with homoclinic orbit tangent to the wall. In PHYSICA D-NONLINEAR PHENOMENA. ISSN 0167-2789, 2013, vol. 245, no. 1, pp. 19-33. LI, S.B. - ZHANG, W. - HAO, Y.X. Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, FEB 2014, vol. 24, no. 2, Art. No. 1450022. LIANG, F. - HAN, M.A. Stability and Limit Cycle Bifurcation for Two Kinds of Generalized Double Homoclinic Loops in Planar Piecewise Smooth Systems. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, DEC 2014, vol. 24, no. 12, Art. No. 1450153. LI, S.B. - SHEN, C. - ZHANG, W. - HAO, Y.X. Homoclinic bifurcations and chaotic dynamics for a piecewise linear system under a periodic excitation and a viscous damping. In NONLINEAR DYNAMICS. ISSN 0924-090X, MAR 2015, vol. 79, no. 4, p. 2395-2406. CASTRO, J. - ALVAREZ, J. Melnikov-Type Chaos of Planar Systems with Two Discontinuities. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, FEB 2015, vol. 25, no. 2, Art. No. 1550027. GAO, J.M. - DU, Z.D. Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum. In NONLINEAR DYNAMICS. ISSN 0924-090X, JAN 2015, vol. 79, no. 2, p. 1061-1074. ZHANG, Sijin - JI, Desan - WEN, Guilin - XU, Huidong. Analysis of global subharmonic orbits of a vibro-impact quasi-Hamiltonian system with the Melnikov's method. In Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. ISSN 14928760, 2015, vol. 22, no. 1, p. 69-84. DESROCHES, M. - FERNANDEZ-GARCIA, S. - KRUPA, M. Canards in a minimal piecewise-linear square-wave burster. In CHAOS. ISSN 1054-1500, 2016, vol. 26, no. 7, art. no. 073111. LI, Shuangbao - MA, Wensai - ZHANG, Wei - HAO, Yuxin. Melnikov Method for a Class of Planar Hybrid Piecewise-Smooth Systems. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2016, vol. 26, no. 2, art. no. 1650030. LI, Shuangbao - MA, Wensai - ZHANG, Wei - HAO, Yuxin. Melnikov Method for a Three-Zonal Planar Hybrid Piecewise-Smooth System and Application. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2016, vol. 26, no. 1, art. no. 1650014. LI, Shuangbao - SHEN, Chao - ZHANG, Wei - HAO, Yuxin. The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2016, vol. 85, no. 2, p. 1091-1104. SHEN, Jun - DU, Zhengdong. Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones. In ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. ISSN 0044-2275, 2016, vol. 67, no. 3, art. no. 42. TIAN, Ruilan - ZHOU, Yufeng - WANG, Qiubao - ZHANG, Lili. Bifurcation and chaotic threshold of Duffing system with jump discontinuities. In EUROPEAN PHYSICAL JOURNAL PLUS. ISSN 2190-5444, 2016, vol. 131, no. 1, art. no. 15. TIAN, RuiLan - ZHOU, YuFeng - ZHANG, BaoLing - YANG, XinWei. Chaotic threshold for a class of impulsive differential system. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2016, vol. 83, no. 4, p. 2229-2240. TIAN, Ruilan - ZHOU, Yufeng - WANG, Yanzhao - FENG, Wenjie - YANG, Xinwei. Chaotic threshold for non-smooth system with multiple impulse effect. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2016, vol. 85, no. 3, p. 1849-1863. ZHANG, Si Jin - WEN, Gui Lin - WANG, Jin Ye - XU, Hui Dong. The Melnikov's method for local-subharmonic orbits of a vibro-impact quasi-Hamiltonian system. In Zhendong Gongcheng Xuebao/Journal of Vibration Engineering. ISSN 10044523, 2016, vol. 29, no. 2, p. 214-219. CASTRO, Jose - ALVAREZ, Joaquin - VERDUZCO, Fernando - PALOMARES-RUIZ, Juan E. Chaotic behavior of driven, second-order, piecewise linear systems. In CHAOS SOLITONS & FRACTALS. ISSN 0960-0779, 2017, vol. 105, p. 8-13. CHEN, Yuexia - CHEN, Long - XU, Xing - WANG, Ruochen - YANG, Xiaofeng. Chaotic Motion in a Nonlinear Car Model Excited by Multi-frequency Road Surface Profile. In CHINESE JOURNAL OF MECHANICAL ENGINEERING. ISSN 1000-9345, 2017, vol. 30, no. 3, p. 689-697. LI, Liping - LUO, Albert C.J. Periodic orbits and bifurcations in discontinuous systems with a hyperbolic boundary. In International Journal of Dynamics and Control. ISSN 2195268X, 2017, vol. 5, no. 3, p. 513-529. LI, Shuangbao - GONG, Xiaojun - ZHANG, Wei - HAO, Yuxin. The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2017, vol. 89, no. 2, p. 939-953. LI, Z. X. - CAO, Q. J. - LEGAR, A. Threshold of Multiple Stick-Slip Chaos for an Archetypal Self-Excited SD Oscillator Driven by Moving Belt Friction. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2017, vol. 27, no. 1, art. no. 1750009. SI, Chundi - TIAN, Ruilan - FENG, Jingjing - YANG, Xinwei. Bifurcation and chaos for piecewise nonlinear roll system of rolling mill. In ADVANCES IN MECHANICAL ENGINEERING. ISSN 1687-8140, 2017, vol. 9, no. 12. SUN, M. - ZHANG, W. - CHEN, J. E. - YAO, M. H. Subharmonic Melnikov theory for degenerate resonance systems and its application. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2017, vol. 89, no. 2, p. 1173-1186. TIAN, R. L. - ZHAO, Z. J. - YANG, X. W. - ZHOU, Y. F. Subharmonic Bifurcation for a Nonsmooth Oscillator. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2017, vol. 27, no. 10, art. no. 1750163. SHEN, Yong-Jun - WEN, Shao-Fang - YANG, Shao-Pu - GUO, Shu-Qi - LI, Lin-Ru. Analytical threshold for chaos in a Duffing oscillator with delayed feedbacks. In INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. ISSN 0020-7462, 2018, vol. 98, p. 173-179. LI, Yurong - DU, Zhengdong. APPLYING BATTELLI-FECKAN´S METHOD TO TRANSVERSAL HETEROCLINIC BIFURCATION IN PIECEWISE SMOOTH SYSTEMS. In DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. ISSN 1531-3492, 2019, vol. 24, no. 11, pp. 6025-6052. GUO, Xiuying - ZHANG, Gang - TIAN, Ruilan. Periodic Solution of a Non-Smooth Double Pendulum with Unilateral Rigid Constrain. In SYMMETRY-BASEL, 2019, vol. 11, no. 7. LIU, Di - XU, Yong. Random Disordered Periodical Input Induced Chaos in Discontinuous Systems. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2019, vol. 29, no. 1. FRANCA, M. - POSPISIL, M. New global bifurcation diagrams for piecewise smooth systems: Transversality of homoclinic points does not imply chaos. In JOURNAL OF DIFFERENTIAL EQUATIONS. ISSN 0022-0396, 2019, vol. 266, no. 2-3, pp. 1429-1461. LI, Shuangbao - ZHAO, Shuaibei. The analytical method of studying subharmonic periodic orbits for planar piecewise-smooth systems with two switching manifolds. In International Journal of Dynamics and Control. ISSN 2195268X, 2019-03-13, 7, 1, pp. 23-35. MONFARED, Zahra - DADI, Zohreh - AFSHARNEZHAD, Zahra. Lyapunov exponents for discontinuous dynamical systems of Filippov type. In COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS. ISSN 2345-3982, 2020, vol. 8, no. 3, pp. 446-467. TIAN, R. L. - WANG, T. - ZHOU, Y. F. - LI, J. - ZHU, S. T. Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2020, vol. 30, no. 10. BURRA, Lakshmi - ZANOLIN, Fabio. Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2020, vol. 30, no. 2. LI, Shuangbao - MA, Xixi - BIAN, Xiaoli - LAI, Siu-Kai - ZHANG, Wei. Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2020, vol. 99, no. 2, pp. 1621-1642. SHUANGBAO, Li - XIXI, Ma - WEI, Zhang. Research progress in melnikov method for global dynamics of non,smooth systems. In Journal of Dynamics and Control. ISSN 16726553, 2020-04-01, 18, 2, pp. 9-20. LIU, Chun Xia - YAN, Yan - WANG, Wen Quan. Resonances and chaos of electrostatically actuated arch micro/nanoresonators with time delay velocity feedback. In Chaos, Solitons and Fractals. ISSN 09600779, 2020-02-01, 131. LI, Shuangbao - WU, Honglei - ZHOU, Xinxing - WANG, Tingting - ZHANG, Wei. Theoretical and experimental studies of global dynamics for a class of bistable nonlinear impact oscillators with bilateral rigid constraints. In INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. ISSN 0020-7462, 2021, vol. 133. Dostupné na: https://doi.org/10.1016/j.ijnonlinmec.2021.103720. LI, Shuangbao - WANG, Tingting - BIAN, Xiaoli. Global dynamics for a class of new bistable nonlinear oscillators with bilateral elastic collisions. In International Journal of Dynamics and Control. ISSN 2195268X, 2021-09-01, 9, 3, pp. 885-900. Dostupné na: https://doi.org/10.1007/s40435-020-00733-9. KOVALEVA, Agnessa. The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element. In PHYSICA D-NONLINEAR PHENOMENA, 2022, vol. 436, art. nr. 133326. ISSN 0167-2789. Dostupné na: https://doi.org/10.1016/j.physd.2022.133326. LI, Shuangbao - GONG, Xiaojun - ZHANG, Wei - HAO, Yuxin. Correction to: The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a Switching Manifold (Nonlinear Dynamics, (2017), 89, 2, (939-953), 10.1007/s11071-017-3493-2). In Nonlinear Dynamics, 2022-07-01, 109, 2, pp. 1255-1257. ISSN 0924090X. Dostupné na: https://doi.org/10.1007/s11071-022-07474-8. LI, Yuxi - WEI, Zhouchao - ZHANG, Wei - YI, Ming. Melnikov-type method for a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation: Homoclinic orbits. In CHAOS, 2022, vol. 32, no. 7, art. nr. 073119. ISSN 1054-1500. Dostupné na: https://doi.org/10.1063/5.0096086. WEN, Qian - ZHENG, Hang. Suppressing Chaotic Motion of The Complex Klein-Gordon Equation with External and Parametrical Excitations. In IAENG International Journal of Computer Science, 2022-01-01, 49, 4, art. nr. IJCS_49_4_30. ISSN 1819656X. ZHOU, Mi - DU, Zhengdong. Transversal Heteroclinic Bifurcation in Hybrid Systems with Application to Linked Rocking Blocks. In Journal of Nonlinear Modeling and Analysis, 2022-03-01, 4, 1, pp. 18-41. Dostupné na: https://doi.org/10.12150/jnma.2022.42. ZHOU, Biliu - JIN, Yanfei. CHAOS RESEARCH OF COUPLED SD OSCILLATOR UNDER GAUSSIAN COLORED NOISE AND HARMONIC EXCITATION. In Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2022-07-01, 54, 7, pp. 2030-2040. ISSN 04591879. Dostupné na: https://doi.org/10.6052/0459-1879-22-123. WEI, Zhouchao - LI, Yuxi - MOROZ, Irene - ZHANG, Wei. Melnikov-type method for a class of planar hybrid piecewise-smooth systems with impulsive effect and noise excitation: Heteroclinic orbits. In CHAOS, 2022, vol. 32, no. 10, art. nr. 103127. ISSN 1054-1500. Dostupné na: https://doi.org/10.1063/5.0106073. LI, Shuangbao - CHEN, Jinzhuo - KOU, Liying. Suppressing Homoclinic Chaos for Vibro-Impact Oscillators. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, vol. 32, no. 15, art. nr. 2250227. ISSN 0218-1274. Dostupné na: https://doi.org/10.1142/S0218127422502273. ZHOU, Biliu - JIN, Yanfei - XU, Huidong. Homoclinic-Heteroclinic Bifurcations and Chaos in a Coupled SD Oscillator Subjected to Gaussian Colored Noise. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, vol. 32, no. 16, art. nr. 2250240. ISSN 0218-1274. Dostupné na: https://doi.org/10.1142/S0218127422502406. ZHENG, Hang - XIA, Yonghui. CHAOTIC THRESHOLD OF A CLASS OF HYBRID PIECEWISE-SMOOTH SYSTEM BY AN IMPULSIVE EFFECT VIA MELNIKOV-TYPE FUNCTION. In DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, vol. 27, no. 11, pp. 6353-6371. ISSN 1531-3492. Dostupné na: https://doi.org/10.3934/dcdsb.2021319. LAVROVA, S. - KUDRYASHOV, N. Suppression of chaos in the periodically perturbed generalized complex Ginzburg-Landau equation by means of parametric excitation. In OPTICAL AND QUANTUM ELECTRONICS. ISSN 0306-8919, OCT 2023, vol. 55, no. 10. Dostupné na: https://doi.org/10.1007/s11082-023-05194-w. WANG, C.Y. - WANG, M.Q. - XING, W.C. - SHI, S.X. Bifurcation and Chaotic Behavior of Duffing System with Fractional-Order Derivative and Time Delay. In FRACTAL AND FRACTIONAL. AUG 2023, vol. 7, no. 8. Dostupné na: https://doi.org/10.3390/fractalfract7080638. LI, Y.X. - WEI, Z.C. - ZHANG, W. - KAPITANIAK, T. Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint. In APPLIED MATHEMATICAL MODELLING. ISSN 0307-904X, OCT 2023, vol. 122, p. 506-523. Dostupné na: https://doi.org/10.1016/j.apm.2023.06.015. GJATA, O. - ZANOLIN, F. An Application of the Melnikov Method to a Piecewise Oscillator. In CONTEMPORARY MATHEMATICS. ISSN 2705-1064, 2023, vol. 4, no. 2. Dostupné na: https://doi.org/10.37256/cm.4220232160. LI, Shuqun - ZHOU, Liangqiang. Chaos analysis for a class of impulse Duffing-van der Pol system. In Zeitschrift fur Naturforschung Section A Journal of Physical Sciences, 2023-05-01, 78, 5, pp. 395-403. ISSN 09320784. Dostupné na: https://doi.org/10.1515/zna-2023-0005. JIANG, Jinkai - DU, Zhengdong. Heteroclinic bifurcation in a quasi-periodically excited rigid rocking block with two frequencies. In Soil Dynamics and Earthquake Engineering, 2023-02-01, 165, pp. ISSN 02677261. Dostupné na: https://doi.org/10.1016/j.soildyn.2022.107677. LI, Shuangbao - SUN, Ran. Melnikov analysis of subharmonic motions for a class of bistable vibro-impact oscillators. In Nonlinear Dynamics, 2023-01-01, 111, 2, pp. 1047-1069. ISSN 0924090X. Dostupné na: https://doi.org/10.1007/s11071-022-07902-9. Kategória ADCA - Vedecké práce v zahraničných karentovaných časopisoch impaktovaných Kategória (od 2022) V3 - Vedecký výstup publikačnej činnosti z časopisu Typ výstupu článok Rok vykazovania 2012 Registrované v WOS Registrované v SCOPUS Registrované v CCC DOI 10.1016/j.physd.2011.05.018 
článok
rok CC IF IF Q (best) JCR Av Jour IF Perc SJR SJR Q (best) CiteScore A rok vydania rok metriky IF IF Q (best) SJR SJR Q (best) 2012 2011 1.594 Q1 0.982 Q1
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