The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities

Author:

Champneys A.R.,Kirk V.

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference21 articles.

1. Chaotic pulse trains;Balmforth;SIAM J. Appl. Math.,1994

2. Numerical analysis of homoclinic orbits emanating from a Takens–Bogdanov point;Beyn;IMA J. Numer. Anal.,1994

3. W.J. Beyn, A.R. Champneys, E.J. Doedel, W. Goverts, Yu.A. Kuznetsov, B. Sandstede, Numerical continuation and computation of normal forms, in: B. Fiedler (Ed.), Handbook of Dynamical Systems, vol. III, Towards Applications, Elsevier, 1992, pp. 149–220.

4. Subordinate Shil’nikov bifurcations near some singularities of vector fields having low codimension;Broer;Ergod. Theory Dyn. Syst.,1984

5. E. Doedel, A. Champneys, T. Fairgrieve, Yu. Kuznetsov, B. Sandstede, X. Wang, AUTO 97: Continuation and bifurcation software for ordinary differential equations. http://indy.cs.concordia.ca/auto.

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