Multi scale models with an explicit subdivision to fast and slow subsystems and an explicit small parameter the main subject of the theory of singularly perturbed differential equations (SPS). Using the well developed method of fast and slow integral (invariant) manifolds such systems can be decomposed to low dimensional models that treat separately fast and slow motions (fast and slow subprocesses. The main obstacle with practical application of this approach is an implicit nature of the multi scale structure for complex dynamical models. We will discuss a coordinate free concept of multiscale systems, so-called singularly perturbed vector fields (SPVF). Our definition of singularly perturbed vector fields is associated with a well known i...
In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and ...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twen...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twenty-Second Sy...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twenty-Second Sy...
This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models...
This paper is devoted to the slow/fast decomposition of multi-scale system by using the integral ma...
The paper is devoted to the investigation of the relationship between slow integral manifolds of sin...
International audienceSlow–fast dynamical systems, i.e. singularly or nonsingularly perturbed dynami...
Abstract. The computational singular perturbation (CSP) method of Lam and Goussis is an iterative me...
It is shown that appropriate linear multi-step methods (LMMs) applied to singularly perturbed system...
We present a novel method for computing slow manifolds and their fast fibre bundles in geometric sin...
We propose a mathematical formalism for discrete multi-scale dynamical systems induced by maps which...
In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and ...
In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and ...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twen...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twenty-Second Sy...
The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twenty-Second Sy...
This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models...
This paper is devoted to the slow/fast decomposition of multi-scale system by using the integral ma...
The paper is devoted to the investigation of the relationship between slow integral manifolds of sin...
International audienceSlow–fast dynamical systems, i.e. singularly or nonsingularly perturbed dynami...
Abstract. The computational singular perturbation (CSP) method of Lam and Goussis is an iterative me...
It is shown that appropriate linear multi-step methods (LMMs) applied to singularly perturbed system...
We present a novel method for computing slow manifolds and their fast fibre bundles in geometric sin...
We propose a mathematical formalism for discrete multi-scale dynamical systems induced by maps which...
In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and ...
In this paper we introduce a new technique to obtain the slow-motion dynamics in nonequilibrium and ...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...
We present a numerical method to identify possible candidates of quasi stationary manifolds in compl...