Delay-induced homoclinic bifurcations in modified gradient bistable systems and their relevance to optimization

Cites Work

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Optimization by Simulated Annealing
Global invariant manifolds near a Shilnikov homoclinic bifurcation
Analysis of an SEIRS epidemic model with two delays
Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback
The application of centre manifolds to amplitude expansions. I. Ordinary differential equations
Global optimization and stochastic differential equations
Heteroclinic orbits for retarded functional differential equations
Existence of chaos in control systems with delayed feedback
Ordinary differential equations which yield periodic solutions of differential delay equations
Existence of periodic solutions of autonomous functional differential equations
On the nonlinear differential delay equation x'(t) = -f(x(t),x(t-1))
Periodic solutions of some nonlinear, autonomous functional differential equations. II
Periodic solutions of some nonlinear autonomous functional differential equations
Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
Global bifurcation of periodic solutions of some autonomous functional differential equations
Stochastic approximation methods for constrained and unconstrained systems
Elements of applied bifurcation theory.
Introduction to functional differential equations
Handbook of global optimization
A delay differential equation model for tumor growth
A delay-differential equation model of HIV infection of $\text{CD}4^+$ T-cells
Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
Handbook of global optimization. Vol. 2
Mathematical analysis of delay differential equation models of HIV-1 infection
Parameterization method for unstable manifolds of delay differential equations
Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
Transition layers for singularly perturbed delay differential equations with monotone nonlinearities
Computing unstable manifolds of periodic orbits in delay differential equations
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation
Numerical Methods for Approximating Invariant Manifolds of Delayed Systems
Bifurcation of a Unique Stable Periodic Orbit from a Homoclinic Orbit in Infinite-Dimensional Systems
Bifurcation from a Heteroclinic Solution in Differential Delay Equations
Examples of transverse homoclinic orbits in delay equations
Homoclinic solution and chaos in
Recursive Stochastic Algorithms for Global Optimization in $\mathbb{R}^d $
Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
Two-dimensional global manifolds of vector fields
Solution multistability in first‐order nonlinear differential delay equations
Oscillation and Chaos in Physiological Control Systems
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
Bifurcation analysis in a scalar delay differential equation
ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE
On the Stability of a Periodic Solution of a Differential Delay Equation
ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
The Nonlinear Accelerator and the Persistence of Business Cycles
A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION OF GROWTH