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1. Full Text Dense heteroclinic tangencies near a Bykov cycle
by Labouriau, Isabel S and Rodrigues, Alexandre A.P
Journal of Differential Equations, ISSN 0022-0396, 12/2015, Volume 259, Issue 11, pp. 5875 - 5902
Heteroclinic cycle | Non-hyperbolicity | Quasi-stochastic attractor | Heteroclinic tangencies | Chirality | Physical Sciences | Mathematics | Science & Technology | Mathematics - Dynamical Systems
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2. Full Text Bifurcations from an attracting heteroclinic cycle under periodic forcing
by Labouriau, Isabel S and Rodrigues, Alexandre A.P
Journal of Differential Equations, ISSN 0022-0396, 08/2020, Volume 269, Issue 5, pp. 4137 - 4174
Heteroclinic cycle | Periodic forcing | Bifurcations | Global attractor | Bistability
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3. Full Text Pseudo-simple heteroclinic cycles in R4
by Chossat, Pascal and Lohse, Alexander and Podvigina, Olga
Physica. D, ISSN 0167-2789, 06/2018, Volume 372, pp. 1 - 21
Heteroclinic cycle | Periodic orbit | Equivariant dynamics | Stability | Quaternions
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4. Full Text Four limit cycles for a three-dimensional competitive Lotka–Volterra system with a heteroclinic cycle
by Gyllenberg, Mats and Yan, Ping
Computers & mathematics with applications (1987), ISSN 0898-1221, 2009, Volume 58, Issue 4, pp. 649 - 669
Heteroclinic cycle | Carrying simplex | Limit cycles | Hopf Bifurcation | Competitive Lotka–Volterra system | Competitive Lotka-Volterra system | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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5. Full Text Simple heteroclinic cycles in
by Podvigina, Olga and Chossat, Pascal
Nonlinearity, ISSN 0951-7715, 2/2015, Volume 28, Issue 4, pp. 901 - 926
heteroclinic cycles | quaternions | symmetries | structural stability
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6. Full Text A new approach for the study of limit cycles
by García-Saldaña, J.D and Gasull, A and Giacomini, H
Journal of Differential Equations, ISSN 0022-0396, 09/2020, Volume 269, Issue 7, pp. 6269 - 6292
Algebraic limit cycle | Reversible center | Periodic orbits | Heteroclinic solution | Abelian integral | Limit cycle | Mathematics
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7. Full Text Heterodimensional cycle bifurcation with two orbit flips
by Liu, Xingbo and Xu, Yancong and Wang, Sisi
Nonlinear dynamics, ISSN 0924-090X, 2015, Volume 79, Issue 4, pp. 2787 - 2804
Heteroclinic cycle | Orbit flip | Poincaré map | Local moving frame | Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology | Analysis | Orbits | Mathematical analysis | Bifurcations
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8. Full Text Stability of heteroclinic cycles in transverse bifurcations
by Lohse, Alexander
Physica. D, ISSN 0167-2789, 08/2015, Volume 310, pp. 95 - 103
Heteroclinic cycle | Equivariant dynamics | (Non-asymptotic) stability | Stability index | Physical Sciences | Physics, Fluids & Plasmas | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Mathematics, Applied | Physics | Science & Technology
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9. Full Text Stability of quasi-simple heteroclinic cycles
by Garrido-da-Silva, L and Castro, S.B.S.D
Dynamical systems (London, England), ISSN 1468-9367, 01/2019, Volume 34, Issue 1, pp. 14 - 39
heteroclinic network | heteroclinic cycle | Stability | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Dimensional stability | Cutting tools
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10. Full Text Simple heteroclinic cycles in R4
by Podvigina, Olga and Chossat, Pascal
Nonlinearity, ISSN 0951-7715, 04/2015, Volume 28, Issue 4, pp. 901 - 926
34C37 | heteroclinic cycles | structural stability | quaternions Mathematics Subject Classification: 34C14 | symmetries | 70K44
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11. Full Text The power of voting and corruption cycles
by Accinelli, E and Martins, Filipe and Pinto, Alberto A and Afsar, Atefeh and Oliveira, Bruno M. P. M
The Journal of mathematical sociology, ISSN 0022-250X, 09/2020, pp. 1 - 24
Mathematics, Interdisciplinary Applications | Physical Sciences | Social Sciences | Social Sciences, Mathematical Methods | Sociology | Mathematics | Mathematical Methods In Social Sciences | Science & Technology
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12. Full Text Heteroclinic Cycles in Hopfield Networks
by Chossat, Pascal and Chossat, Pascal and Krupa, Maciej and Krupa, Maciej
Journal of nonlinear science, ISSN 0938-8974, 4/2016, Volume 26, Issue 2, pp. 315 - 344
34C37 | 68T05 | 37N25 | Theoretical, Mathematical and Computational Physics | Economic Theory/Quantitative Economics/Mathematical Methods | Network architecture | Mathematics | Hopfield networks | Analysis | Heteroclinic cycles | Appl.Mathematics/Computational Methods of Engineering | Mechanics | Learning rule | 92B20 | Physical Sciences | Technology | Physics, Mathematical | Mathematics, Applied | Physics | Science & Technology | Mathematics - Dynamical Systems | Dynamical Systems
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13. Full Text Dynamics at Infinity and Existence of Singularly Degenerate Heteroclinic Cycles in Maxwell–Bloch System
by Chen, Haimei and Liu, Yongjian and Feng, Chunsheng and Liu, Aimin and Huang, Xiezhen
Journal of computational and nonlinear dynamics, ISSN 1555-1415, 10/2020, Volume 15, Issue 10
Chaos | Singularly degenerate heteroclinic cycles | Global behavior | Poincare compactification | Maxwell–Bloch system | Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology
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14. Full Text On heteroclinic cycles of competitive maps via carrying simplices
by Jiang, Jifa and Jiang, Jifa and Niu, Lei and Niu, Lei and Wang, Yi and Wang, Yi
Journal of mathematical biology, ISSN 0303-6812, 3/2016, Volume 72, Issue 4, pp. 939 - 972
Repeller | Stability | Mathematical and Computational Biology | 37N25 | Mathematics | Attractor | 37C29 | Heteroclinic cycle | 37C70 | Carrying simplex | 92D25 | Competitive map | Applications of Mathematics | Fixed point | Biology | Life Sciences & Biomedicine - Other Topics | Life Sciences & Biomedicine | Science & Technology | Mathematical & Computational Biology | Mathematical Concepts | Species Specificity | Nonlinear Dynamics | Models, Biological | Ecosystem | Population Dynamics | Analysis | Geographical perception | Index Medicus
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15. Full Text Boundary crisis for degenerate singular cycles
by Lohse, Alexander and Rodrigues, Alexandre
Nonlinearity, ISSN 0951-7715, 4/2017, Volume 30, Issue 6, pp. 2211 - 2245
multipulse-homoclinic | boundary crisis | singular cycle | heteroclinic tangencies | shift dynamics | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Mathematics - Dynamical Systems
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16. Full Text Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka–Volterra systems
by Yu, Pei and Han, Maoan and Xiao, Dongmei
Journal of mathematical analysis and applications, ISSN 0022-247X, 04/2016, Volume 436, Issue 1, pp. 521 - 555
Heteroclinic cycle | Stability | Hopf bifurcation | 3-d competitive Lotka–Volterra system | Limit cycle | 3-d competitive Lotka-Volterra system | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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17. Full Text Simple heteroclinic cycles in R-4
by Podvigina, Olga and Chossat, Pascal
Nonlinearity, ISSN 0951-7715, 04/2015, Volume 28, Issue 4, pp. 901 - 926
Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Dynamical Systems
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18. Full Text Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems
by Lu, Kai and Yang, Qigui and Xu, Wenjing
Journal of mathematical analysis and applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 1, pp. 58 - 81
Chaos | Heteroclinic cycle | Piecewise affine system | Poincaré map | Discontinuous boundary | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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