The Saddle-Node Separatrix-Loop Bifurcation
From MaRDI portal
Publication:3796429
DOI10.1137/0518083zbMath0651.58025OpenAlexW2007242618MaRDI QIDQ3796429
Publication date: 1987
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0518083
pendulumbifurcationJosephson junctionMelnikov's integralseparatrix loopequilibrium of saddle-node type
Related Items
Examples of non-degenerate and degenerate cuspidal loops in planar systems, Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria, On codimension-three bifurcations in the motion of articulated tubes conveying a fluid, Topological and phenomenological classification of bursting oscillations, Optimal escape from potential wells -- patterns of regular and chaotic bifurcation, Combustion fronts in a porous medium with two layers, Combustion waves and Riemann solutions in light porous foam, Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit, Homoclinic orbits in a simple chemical model of an autocatalytic reaction, MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL, The non linear dynamics of retinal waves, Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal, The Bifurcation Set for the 1:4 Resonance Problem, Codimension-two bursting analysis in the delayed neural system with external stimulations, Multiple Traveling Waves for Dry Forward Combustion Through a Porous Medium, Melnikov method and detection of chaos for non-smooth systems, Homoclinic bifurcation at resonant eigenvalues, A non-transverse homoclinic orbit to a saddle-node equilibrium, Homoclinic and heteroclinic bifurcations of Vector fields, Bifurcation of the Hodgkin and Huxley equations: A new twist, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study, Numerical analysis and accurate computation of heteroclinic orbits in the case of center manifolds, Complex dynamics in double-diffusive convection, Experimental Analysis of Codimension-2 Bifurcations in a Periodically-Forced Opto-Thermal Oscillator, Stability of gasless combustion fronts in one-dimensional solids, Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation, Riemann solutions for counterflow combustion in light porous foam, Analytical approximation of cuspidal loops using a nonlinear time transformation method, NEURAL EXCITABILITY, SPIKING AND BURSTING, A REMARK ON HETEROCLINIC BIFURCATIONS NEAR STEADY STATE/PITCHFORK BIFURCATIONS, CONNECTIONS BETWEEN SADDLES FOR THE FITZHUGH–NAGUMO SYSTEM, HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM, Fuzzy Noise-Induced Codimension-Two Bifurcations Captured by Fuzzy Generalized Cell Mapping with Adaptive Interpolation, Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two