Add to ORKGIn this work we study methods for rigorous investigations of piecewise linear systems. The methods are based on the concept of Poincare ́ map. We describe methods how to find regions, where the Poincare map is well defined and continuous and how to apply interval Newton method for locating all low-period cycles in this region
An algorithm to capture all the unicursal branches of any one-port characteristic in piecewise-linea...
AbstractGiven a set D of real numbers and a piecewise continuous and globally periodic map F:D→D, we...
In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Mira...
Abstract — In this work we study possibilities of rigorous analy-sis of piecewise linear systems usi...
This paper starts by presenting local stability conditions for limit cycles of piecewise linear syst...
Introduction Piecewise linear algorithms, also referred to in the literature as simplicial algorith...
The technique of Poincare ́ map is often used in analysis of continuous–time nonlinear systems. This...
Piecewise Linear (PL) approximation of non-linear behaviour is a well-known technique in synthesis a...
A new fast method to find all the DC solutions of piecewise-linear (PWL) resistive circuits is prese...
Oscillations appear in numerous applications from biology to technology.However, besides local resul...
An entirely new algorithm to find all the equilibrium points of piecewise-linear (PWL) circuits is p...
This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for pl...
AbstractPiecewise linear methods had their beginning in the mid-1960s with Lemke's algorithm for cal...
AbstractWe investigate effective Newton-type methods for solving piecewise linear systems. We prove ...
Abstract Mathematical modelings of many electric and mechanical systems involve piecewise linear sys...
An algorithm to capture all the unicursal branches of any one-port characteristic in piecewise-linea...
AbstractGiven a set D of real numbers and a piecewise continuous and globally periodic map F:D→D, we...
In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Mira...
Abstract — In this work we study possibilities of rigorous analy-sis of piecewise linear systems usi...
This paper starts by presenting local stability conditions for limit cycles of piecewise linear syst...
Introduction Piecewise linear algorithms, also referred to in the literature as simplicial algorith...
The technique of Poincare ́ map is often used in analysis of continuous–time nonlinear systems. This...
Piecewise Linear (PL) approximation of non-linear behaviour is a well-known technique in synthesis a...
A new fast method to find all the DC solutions of piecewise-linear (PWL) resistive circuits is prese...
Oscillations appear in numerous applications from biology to technology.However, besides local resul...
An entirely new algorithm to find all the equilibrium points of piecewise-linear (PWL) circuits is p...
This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for pl...
AbstractPiecewise linear methods had their beginning in the mid-1960s with Lemke's algorithm for cal...
AbstractWe investigate effective Newton-type methods for solving piecewise linear systems. We prove ...
Abstract Mathematical modelings of many electric and mechanical systems involve piecewise linear sys...
An algorithm to capture all the unicursal branches of any one-port characteristic in piecewise-linea...
AbstractGiven a set D of real numbers and a piecewise continuous and globally periodic map F:D→D, we...
In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Mira...