Simultaneous equilibrium and heteroclinic bifurcation of planar vector fields via the Melnikov integral

Stephen Schecter

Type: Article

Publication Date: 1990-02-01

Citations: 14

DOI: https://doi.org/10.1088/0951-7715/3/1/006

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Nonlinearity - View

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Works That Cite This (14)

Action	Title	Year	Authors
+	A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation	1999	Antonio Algaba E. Freire E. Gamero Alejandro J. Rodríguez-Luis
+ PDF Chat	Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria	1994	Flaviano Battelli
+	An Organizing Center for Wave Bifurcation in Multiphase Flow Models	1997	Bradley J. Plohr D. Marchesin Stephen Schecter
+	Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes	1999	Brian T. Hayes Michael Shearer
+	A REMARK ON HETEROCLINIC BIFURCATIONS NEAR STEADY STATE/PITCHFORK BIFURCATIONS	2004	Vivien Kirk Edgar Knobloch
+	Dynamical Systems: Some Computational Problems	1993	John Guckenheimer Patrick Worfolk
+	Undercompressive Shocks for a System of Hyperbolic Conservation Laws with Cubic Nonlinearity	1999	Matthew R Schulze Michael Shearer
+ PDF Chat	Undercompressive shocks for nonstrictly hyperbolic conservation laws	1991	Stephen Schecter Michael Shearer
+	Cp singularity theory and heteroclinic bifurcation with a distinguished parameter	1992	Stephen Schecter
+	Melnikov's vector — A “Measure of chaos”	1991	Wolfgang Haidegger

Works Cited by This (6)

Action	Title	Year	Authors
+	The Saddle-Node Separatrix-Loop Bifurcation	1987	Stephen Schecter
+	The Riemann problem for 2 × 2 systems of hyperbolic conservation laws with case I quadratic nonlinearities	1989	Michael Shearer
+	Partially hyperbolic fixed points	1971	Floris Takens
+	Quadratic gradients on the plane are generically Morse-Smale	1979	Carmen Chicone
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes
+	On the Stability of the Center for Time Periodic Perturbations	1963	V. K. Mel’nikov