Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips
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| 024 | 7 | 0 | |a 10.1007/s10114-015-2456-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-2456-0 | ||
| 245 | 0 | 0 | |a Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips |h [Elektronische Daten] |c [Tian Zhang, De Zhu] |
| 520 | 3 | |a The paper studies a codimension-4 resonant homoclinic bifurcation with one orbit flip and two inclination flips, where the resonance takes place in the tangent direction of homoclinic orbit. Local active coordinate system is introduced to construct the Poincaré returning map, and also the associated successor functions. We prove the existence of the saddle-node bifurcation, the period-doubling bifurcation and the homoclinic-doubling bifurcation, and also locate the corresponding 1-periodic orbit, 1-homoclinic orbit, double periodic orbits and some 2 n -homoclinic orbits. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Orbit flip |2 nationallicence | |
| 690 | 7 | |a inclination flip |2 nationallicence | |
| 690 | 7 | |a resonant |2 nationallicence | |
| 690 | 7 | |a homoclinic-doubling bifurcations |2 nationallicence | |
| 700 | 1 | |a Zhang |D Tian |u College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, P. R. China |4 aut | |
| 700 | 1 | |a Zhu |D De |u Department of Mathematics, East China Normal University, 200062, Shanghai, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1359-1366 |x 1439-8516 |q 31:8<1359 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-2456-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-2456-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Tian |u College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhu |D De |u Department of Mathematics, East China Normal University, 200062, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1359-1366 |x 1439-8516 |q 31:8<1359 |1 2015 |2 31 |o 10114 | ||