List of works - Viktor Avrutin

A Gallery of Bifurcation Scenarios in Piecewise Smooth 1D Maps

BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS

article

BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH

Bandcount adding structure and collapse of chaotic attractors in a piecewise linear bimodal map

Bandcount incrementing scenario revisited and floating regions within robust chaos

scholarly article by Viktor Avrutin et al published January 2014 in Mathematics and Computers in Simulation

Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model

Bifurcation Structures in a Bimodal Piecewise Linear Map: Chaotic Dynamics

Bifurcation structure in the skew tent map and its application as a border collision normal form

article by I. Sushko et al published 30 November 2015 in Journal of Difference Equations and Applications

Bifurcations of Chaotic Attractors in One-Dimensional Piecewise Smooth Maps

article published in 2014

Border collisions inside the stability domain of a fixed point

Border-collision period-doubling scenario

scientific article published on 31 August 2004

Breaking the continuity of a piecewise linear map

article by Viktor Avrutin et al published April 2012 in ESAIM: Proceedings and Surveys

Bubbling in a power electronic inverter: Onset, development and detection

article

CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT

article by Viktor Avrutin et al published October 2010 in International Journal of Bifurcation and Chaos

Calculation of homoclinic and heteroclinic orbits in 1D maps

scholarly article by Viktor Avrutin et al published May 2015 in Communications in Nonlinear Science and Numerical Simulation

Cascades of alternating pitchfork and flip bifurcations in H-bridge inverters

Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps

Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps

scientific article published on 8 June 2007

Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Critical homoclinic orbits lead to snap-back repellers

scholarly article by Laura Gardini et al published June 2011 in Chaos, Solitons & Fractals

Cyclicity of chaotic attractors in one-dimensional discontinuous maps

Dangerous Bifurcations Revisited

Disrupted bandcount doubling in an AC-DC boost PFC circuit modeled by a time varying map

article published in 2016

Dynamics in Braess Paradox with Nonimpulsive Commuters

article

Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition

article

HBsAg level and hepatitis B viral load correlation with focus on pregnancy

scientific article published on July 2015

Influence of a square-root singularity on the behaviour of piecewise smooth maps

Modeling and analysis of a simple manufacturing-oriented multi-agent system

Multi-parametric bifurcations in a piecewise–linear discontinuous map

article by Viktor Avrutin et al published 13 July 2006 in Nonlinearity

Nonsmooth one-dimensional maps: some basic concepts and definitions

Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map

article by Viktor Avrutin et al published 26 February 2011 in Nonlinear Dynamics

On a bifurcation structure mimicking period adding

scientific article published in 2011

On a special type of border-collision bifurcations occurring at infinity

On detection of multi-band chaotic attractors

scientific article published in 2007

On multi-parametric bifurcations in a scalar piecewise-linear map

article by Viktor Avrutin & Michael Schanz published 13 January 2006 in Nonlinearity

On the fully developed bandcount adding scenario

On the scaling properties of the period-increment scenario in dynamical systems

article published in 2000

Onset of chaos in a single-phase power electronic inverter

scientific article published in April 2015

Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches

PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES

Period adding structure in a 2D discontinuous model of economic growth

scholarly article by Fabio Tramontana et al published February 2015 in Applied Mathematics and Computation

Self-similarity of the bandcount adding structures: Calculation by map replacement

article by Viktor Avrutin et al published December 2010 in Regular & Chaotic Dynamics

Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps

scholarly article by Viktor Avrutin et al published 2 August 2011 in Nonlinearity

Symmetry breaking in a bull and bear financial market model

article by Iryna Sushko et al published October 2015 in Chaos, Solitons & Fractals

The Role of Constraints in a Segregation Model: The Asymmetric Case

The bandcount increment scenario. I. Basic structures

scientific article published in 2008

The bandcount increment scenario. II. Interior structures

scientific article published in 2008

The bandcount increment scenario. III. Deformed structures

scientific article published in 2009

The discontinuous flat top tent map and the nested period incrementing bifurcation structure

article by Ben W. Carabelli et al published April 2012 in Chaos, Solitons & Fractals

The role of constraints in a segregation model: The symmetric case ⬇️

article

List of works by Viktor Avrutin

A Gallery of Bifurcation Scenarios in Piecewise Smooth 1D Maps

BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS

BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH

Bandcount adding structure and collapse of chaotic attractors in a piecewise linear bimodal map

Bandcount incrementing scenario revisited and floating regions within robust chaos

Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model

Bifurcation Structures in a Bimodal Piecewise Linear Map: Chaotic Dynamics

Bifurcation structure in the skew tent map and its application as a border collision normal form

Bifurcations of Chaotic Attractors in One-Dimensional Piecewise Smooth Maps

Border collisions inside the stability domain of a fixed point

Border-collision period-doubling scenario

Breaking the continuity of a piecewise linear map

Bubbling in a power electronic inverter: Onset, development and detection

CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT

Calculation of homoclinic and heteroclinic orbits in 1D maps

Cascades of alternating pitchfork and flip bifurcations in H-bridge inverters

Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps

Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps

Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Critical homoclinic orbits lead to snap-back repellers

Cyclicity of chaotic attractors in one-dimensional discontinuous maps

Dangerous Bifurcations Revisited

Disrupted bandcount doubling in an AC-DC boost PFC circuit modeled by a time varying map

Dynamics in Braess Paradox with Nonimpulsive Commuters

Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition

HBsAg level and hepatitis B viral load correlation with focus on pregnancy

Influence of a square-root singularity on the behaviour of piecewise smooth maps

Modeling and analysis of a simple manufacturing-oriented multi-agent system

Multi-parametric bifurcations in a piecewise–linear discontinuous map

Nonsmooth one-dimensional maps: some basic concepts and definitions

Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map

On a bifurcation structure mimicking period adding

On a special type of border-collision bifurcations occurring at infinity

On detection of multi-band chaotic attractors

On multi-parametric bifurcations in a scalar piecewise-linear map

On the fully developed bandcount adding scenario

On the scaling properties of the period-increment scenario in dynamical systems

Onset of chaos in a single-phase power electronic inverter

Organizing centers in parameter space of discontinuous 1D maps. The case of increasing/decreasing branches

PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES

Period adding structure in a 2D discontinuous model of economic growth

Self-similarity of the bandcount adding structures: Calculation by map replacement

Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps

Symmetry breaking in a bull and bear financial market model

The Role of Constraints in a Segregation Model: The Asymmetric Case

The bandcount increment scenario. I. Basic structures

The bandcount increment scenario. II. Interior structures

The bandcount increment scenario. III. Deformed structures

The discontinuous flat top tent map and the nested period incrementing bifurcation structure

The role of constraints in a segregation model: The symmetric case ⬇️

Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map

Virtual orbits and two-parameter bifurcation analysis in a ZAD-controlled buck converter