Found 421 Documents (Results 1–100)
Problems and corrections of classical mathematical model for piecewise linear system. (English) Zbl 07912582
With Andrzej Lasota there and back again. The XVII annual lecture dedicated to the memory of Professor Andrzej Lasota. (English) Zbl 07904701
Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems. (English) Zbl 07896262
Two kinds of analytical solutions to Feigenbaum-Kadanoff-Shenker equation. (English) Zbl 07890813
Reviewer: Steve Pederson (Atlanta)
Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval. (Non-Lissabilité pour une classe de groupe d’homéomorphismes linéaires par morceaux de l’intervalle.) (English. French summary) Zbl 07877207
Saddle-node canard cycles in slow-fast planar piecewise linear differential systems. (English) Zbl 1540.34115
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. (English) Zbl 07853281
Pseudo asymptotically Bloch periodic functions: applications for some models with piecewise constant argument. (English) Zbl 07848750
Reviewer: Khalil Ezzinbi (Marrakech)
Limit cycles of the discontinuous piecewise differential systems separated by a nonregular line and formed by a linear center and a quadratic one. (English) Zbl 07848358
Crossing limit cycles in planar piecewise linear systems separated by a nonregular line with node-node type critical points. (English) Zbl 07848347
Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems. (English) Zbl 1536.39007
Hilbert number for a family of piecewise nonautonomous equations. (English) Zbl 1540.34044
Reviewer: Alexander Grin (Grodno)
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors. (English) Zbl 1539.37054
Reviewer: Valery A. Gaiko (Minsk)
Bifurcation analysis of a planar piecewise linear system of focus-focus type. (English) Zbl 07848388
Grazing, homoclinic orbits and chaos in a single-loop feedback system with a discontinuous function. (English) Zbl 07848302
Grazing bifurcations, homoclinic orbits and chaos in a ring network of linear neuron-like elements with a single nonmonotonic piecewise constant output function. (English) Zbl 07848283
A synopsis of the noninvertible, two-dimensional, border-collision normal form with applications to power converters. (English) Zbl 07847373
Existence, number and stability of periodic orbits induced by homoclinic loops in three-dimensional piecewise linear systems with an admissible saddle-focus. (English) Zbl 1537.34061
Border collision bifurcations and coexisting attractors in an economic bimodal map. (English) Zbl 07847284
\(\mathcal{H}_2\) reset controller design for linear systems using piecewise quadratic Lyapunov functions. (English) Zbl 1532.93147
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms. II: Applications. (English) Zbl 1535.37047
On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems. (English) Zbl 07790607
Border collision bifurcations in a piecewise linear duopoly model. (English) Zbl 1535.37051
Reviewer: Antonio Linero Bas (Murcia)
Limit cycles for piecewise differential systems formed by an arbitrary linear system and a cubic isochronous center. (English) Zbl 1522.34032
A complete characterization of reversibility in \(PL (S)\). (English) Zbl 1527.57025
Reviewer: Michele Triestino (Dijon)
Generation of self-excited, hidden and non-self-excited attractors in piecewise linear systems. Some recent approaches. (English) Zbl 07707255
Singapore: World Scientific (ISBN 978-981-12-7411-4/hbk; 978-981-12-7413-8/ebook). x, 181 p. (2023).
Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. (English) Zbl 1512.34069
Subgroups of \(\mathrm{PL}_+ I\) which do not embed into Thompson’s group \(F\). (English) Zbl 1515.20176
Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles. (English) Zbl 1518.34014
Reviewer: Lucyjane Silva (Goiânia)
The twisted Baker map. (English) Zbl 1511.37030
Inner amenability of the subgroups of \(\mathrm{PL}^+(I)\). (English) Zbl 1535.43002
Reviewer: Amir Sahami (Tehran)
Stability of bimodal planar switched linear systems with both stable and unstable subsystems. (English) Zbl 1525.93333
Reviewer: Cristina Pignotti (L’Aquila)
Bifurcations in continuous piecewise linear differential systems. Applications to low-dimensional electronic oscillators. (English) Zbl 1531.34003
RSME Springer Series 7. Cham: Springer (ISBN 978-3-031-21134-8/hbk; 978-3-031-21137-9/pbk; 978-3-031-21135-5/ebook). xv, 311 p. (2022).
Stable and unstable manifolds of the two-dimensional piecewise-linear normal form maps. (English) Zbl 1524.37029
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic. (English) Zbl 1505.34047
On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center. (English) Zbl 1504.34072
Perception of fundamental values and financial market dynamics: mathematical insights from a 2D piecewise linear map. (English) Zbl 1509.37134
Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres. (English) Zbl 1508.37064
Chaos in the border-collision normal form: a computer-assisted proof using induced maps and invariant expanding cones. (English) Zbl 1510.37124
On the crossing limit cycles for piecewise linear differential systems separated by a straight line and having symmetric equilibrium points. (English) Zbl 1490.34032
Confined subgroups and high transitivity. (Sous-groupes confinés et haute transitivité.) (English. French summary) Zbl 07524691
Strange nonchaotic attractors in a periodically forced piecewise linear system with noise. (English) Zbl 1493.37040
Computation of periodic orbits for piecewise linear oscillator by harmonic balance methods. (English) Zbl 1491.65161
On stucture of phase portrait of one 5-dimensional gene network model. (Russian. English summary) Zbl 1512.37100
Sib. Zh. Ind. Mat. 24, No. 3, 19-29 (2021); translation in J. Appl. Ind. Math. 15, No. 3, 376-383 (2021).
Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci. (English) Zbl 1490.37032
Some open problems in low dimensional dynamical systems. (English) Zbl 1487.37024
Reviewer: William J. Satzer Jr. (St. Paul)
The planar discontinuous piecewise linear refracting systems have at most one limit cycle. (English) Zbl 1474.34286
Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones. (English) Zbl 1510.37037
Harmonic solutions for a class of non-autonomous piecewise linear oscillators. (English) Zbl 1484.34107
Reviewer: Predrag Punosevac (Pittsburgh)
A constructive approach to robust chaos using invariant manifolds and expanding cones. (English) Zbl 1478.37055
The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line. (English) Zbl 1480.34074
Reviewer: Oleg Anashkin (Simferopol)
A monoparametric family of piecewise linear systems to generate scroll attractors via path-connected set of polynomials. (English) Zbl 1469.34030
Dynamics in the transition case invertible/non-invertible in a 2D piecewise linear map. (English) Zbl 1489.37056
Method for controlling vibration by exploiting piecewise-linear nonlinearity in energy harvesters. (English) Zbl 1472.74094
Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds. (English) Zbl 1455.37023
Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds. (English) Zbl 1456.37051
A novel multi-scroll chaotic system and its application in image encryption. (Chinese. English summary) Zbl 1463.37065
Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. (English) Zbl 1463.34141
Stabilizing graph-dependent linear switched systems with unstable subsystems. (English) Zbl 1447.93248
Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. (English) Zbl 1452.34025
Reviewer: Xiang Zhang (Shanghai)
Piecewise-linear map for studying border collision phenomena in DC/AC converters. (English) Zbl 1452.37094
Reviewer: Liviu Goraş (Iaşi)
The stability of fixed points on switching manifolds of piecewise-smooth continuous maps. (English) Zbl 1445.37019
Limit cycles for two classes of control piecewise linear differential systems. (English) Zbl 1457.37068
Reviewer: Fengqin Zhang (Yuncheng)
Piecewise linear differential systems with an algebraic line of separation. (English) Zbl 1440.34032
Dynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stability. (English) Zbl 1450.34002
Reviewer: Ba Khiet Le (Rancagua)
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem. (English) Zbl 1432.37045
Reviewer: Eszter Gselmann (Debrecen)
Phase portraits of continuous piecewise linear Liénard differential systems with three zones. (English) Zbl 1448.34070
Role of the virtual fixed point in the center bifurcations in a family of piecewise linear maps. (English) Zbl 1432.37044
Monotonicity of the Poincaré mapping in some models of circular gene networks. (Russian, English) Zbl 1438.37057
Sib. Zh. Ind. Mat. 22, No. 3, 39-47 (2019); translation in J. Appl. Ind. Math. 13, No. 3, 472-479 (2019).
Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting. (English) Zbl 1429.65322
Bifurcation patterns in homogeneous area-preserving piecewise-linear maps. (English) Zbl 1432.37005
Reviewer: Hao Wu (Nanjing)
Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. (English) Zbl 1429.45004
Reviewer: Alexander N. Tynda (Penza)
Hopf-like boundary equilibrium bifurcations involving two foci in Filippov systems. (English) Zbl 1428.37048
Reviewer: Vladimir P. Kostov (Nice)
Model reduction of non-densely defined piecewise-smooth systems in Banach spaces. (English) Zbl 1501.37074
Saddle-node of limit cycles in planar piecewise linear systems and applications. (English) Zbl 1426.34047
Reviewer: Hao Wu (Nanjing)
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