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Bifurcation and chaos near sliding homoclinics
Title Bifurcation and chaos near sliding homoclinics Author Battelli F. Co-authors Fečkan Michal 1960 SAVMATEM - Matematický ústav SAV Source document Journal of differential equations. vol. 248, no. 9 (2010), p. 2227-2262 Language English Country US - United States of America Document kind rozpis článkov z periodík (rbx) Citations DU, Z.D. - LI, Y.R. - SHEN, J. - ZHANG, W.N. Impact oscillators with homoclinic orbit tangent to the wall. In PHYSICA D-NONLINEAR PHENOMENA. ISSN 0167-2789, FEB 15 2013, vol. 245, no. 1, p. 19-33. PI, D.H. - YU, J. - ZHANG, X. ON THE SLIDING BIFURCATION OF A CLASS OF PLANAR FILIPPOV SYSTEMS. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, MAR 2013, vol. 23, no. 3. GAO, Junming - DU, Zhengdong. Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum. In NONLINEAR DYNAMICS. ISSN 0924-090X, 2015, vol. 79, no. 2, p. 1061-1074. 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, 2015, vol. 79, no. 4, p. 2395-2406. LIANG, Feng - YANG, Junmin. Limit Cycles Near a Piecewise Smooth Generalized Homoclinic Loop with a Nonelementary Singular Point. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2015, vol. 25, no. 13. LIANG, Feng - HAN, Maoan. On the Number of Limit Cycles in Small Perturbations of a Piecewise Linear Hamiltonian System with a Heteroclinic Loop. In CHINESE ANNALS OF MATHEMATICS SERIES B. ISSN 0252-9599, 2016, vol. 37, no. 2, p. 267-280. 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. LIANG, Feng - HAN, Maoan. On the Number of Limit Cycles in Small Perturbations of a Piecewise Linear Hamiltonian System with a Heteroclinic Loop. In CHINESE ANNALS OF MATHEMATICS SERIES B. ISSN 0252-9599, 2016, vol. 37, no. 2, p. 267-280. 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. 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. CRISTIANO, Rony - CARVALHO, Tiago - TONON, Durval J. - PAGANO, Daniel J. Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R-3: A case study in power electronics. In PHYSICA D-NONLINEAR PHENOMENA. ISSN 0167-2789, 2017, vol. 347, p. 12-20. GAO, Yunfei - PENG, Linping - LIU, Changjian. Bifurcation of Limit Cycles from a Class of Piecewise Smooth Systems with Two Vertical Straight Lines of Singularity. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2017, vol. 27, no. 10, art. no. 1750157. 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. LIANG, Feng - WANG, Dechang. Limit Cycle Bifurcations Near a Piecewise Smooth Generalized Homoclinic Loop with a Saddle-Fold Point. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, 2017, vol. 27, no. 5, art. no. 1750071. NOVAES, Douglas D. - PONCE, Gabriel - VARAO, Regis. Chaos Induced by Sliding Phenomena in Filippov Systems. In JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. ISSN 1040-7294, 2017, vol. 29, no. 4, p. 1569-1583. SONG, Haifeng - PENG, Linping - CUI, Yong. LIMIT CYCLES IN PIECEWISE SMOOTH PERTURBATIONS OF A QUARTIC ISOCHRONOUS CENTER. In ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. ISSN 1072-6691, 2019. 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. 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. PENG, Linping - GAO, Yunfei - FENG, Zhaosheng. Limit cycles bifurcating from piecewise quadratic systems separated by a straight line. In NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. ISSN 0362-546X, 2020, vol. 196. 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. 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. NOVAES, Douglas D. - VARAO, Regis. A note on invariant measures for Filippov systems. In BULLETIN DES SCIENCES MATHEMATIQUES. ISSN 0007-4497, 2021, vol. 167. Dostupné na: https://doi.org/10.1016/j.bulsci.2021.102954. GONZALO BARAJAS-RAMIREZ, Juan - FRANCO-LOPEZ, Arturo - GONZALEZ-HERNANDEZ, Hugo G. Generating Shilnikov chaos in 3D piecewise linear systems. In APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, 2021, vol. 395. Dostupné na: https://doi.org/10.1016/j.amc.2020.125877. 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. DEMIRK, Gokhan. Piecewise parametric chaotic model of p53 network based on the identified unifying framework of divergent p53 dynamics. In CHAOS SOLITONS & FRACTALS, 2022, vol. 160, art. nr. 112300. ISSN 0960-0779. Dostupné na: https://doi.org/10.1016/j.chaos.2022.112300. CRISTIANO, Rony - DE FREITAS, Bruno R. - MEDRADO, Joao C. Three Crossing Limit Cycles in a 3D-Filippov System Having a T-Singularity. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, vol. 32, no. 01, art. nr. 2250006. ISSN 0218-1274. Dostupné na: https://doi.org/10.1142/S0218127422500067. 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. 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. 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. 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. PENG, L.P. - LI, Y. - SUN, D. Piecewise Smooth Perturbations to a Class of Planar Cubic Centers. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, MAY 2023, vol. 33, no. 06. Dostupné na: https://doi.org/10.1142/S0218127423500682. LI, S.B. - ZHANG, C.X. - KOU, L.Y. A new vibro-impact bistable oscillator with an adjustable rigid wall. In PHYSICS LETTERS A. ISSN 0375-9601, JUL 5 2023, vol. 475. Dostupné na: https://doi.org/10.1016/j.physleta.2023.128861. WU, T.T. - HUAN, S.M. - LIU, X.J. Sliding homoclinic orbits and bifurcations of three-dimensional piecewise affine systems. In NONLINEAR DYNAMICS. ISSN 0924-090X, MAY 2023, vol. 111, no. 10, p. 9011-9024. Dostupné na: https://doi.org/10.1007/s11071-023-08301-4. SUN, D. - GAO, Y.F. - PENG, L.P. - FU, L. Limit cycles in piecewise smooth perturbations of a class of cubic differential systems. In ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. ISSN 1417-3875, 2023, no. 49, p. 1-26. Dostupné na: https://doi.org/10.14232/ejqtde.2023.1.49. YANG, Q.G. - HUANG, Y.S. Chaotic Dynamics Arising from Sliding Heteroclinic Cycles in 3D Filippov Systems. In INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. ISSN 0218-1274, JAN 2023, vol. 33, no. 01. Dostupné na: https://doi.org/10.1142/S0218127423500098. 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. Category ADCA - Scientific papers in foreign journals registered in Current Contents Connect with IF (impacted) Category of document (from 2022) V3 - Vedecký výstup publikačnej činnosti z časopisu Type of document článok Year 2010 Registered in WOS Registered in SCOPUS Registered in CCC DOI 10.1016/j.jde.2009.11.003 
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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) 2010 2009 1.426 Q1 2.371 Q1
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