Tytuł artykułu

Analysis, adaptive control and circuit simulation of a novel finance system with dissaving

Tytuł czasopisma

Archives of Control Sciences




No 1

Autorzy publikacji

Wydział PAN

Nauki Techniczne


<jats:p>In this paper a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities with negative saving term, which is called ‘dissaving’ is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using wellknown simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system’s behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.</jats:p>


Committee of Automatic Control and Robotics PAS




ISSN 1230-2384


CHEN (2008), Nonlinear dynamics and chaos in a fractional - order financial system, Chaos Soliton Fract, 36, 1305, ; CHIAN (2005), Attractor merging crisis in chaotic business cycles, Chaos Soliton Fract, 24, 869, ; LORENZ (2002), Chaotic attractors chaotic saddles and fractal basin boundaries : Goodwin s nonlinear accelerator model reconsidered, Chaos Soliton Fract, 13, 957, ; POINCARE (1890), Sur le probléme des trois corps et les équations de la dynamique Divergence des series de, Acta Mathematica, 13, 1. ; VAN (1927), DER POL and DER MARK Frequency demultiplication, Nature, 120, 363, ; CESARE (2005), A dynamic IS - LM model with delayed taxation revenues, Chaos Soliton Fract, 25, 233, ; VOLOS (2015), The effect of foreign direct investment in economic growth from the perspective of nonlinear dynamics of and, Engineering Science Technology Review, 8, 1. ; BARAKAT (2013), Generalized hardware post processing technique for chaos - based pseudorandom number generators, ETRI J, 35, 448, ; GAMEZ (2009), Synchronization of Chua s circuits with multiscroll attractors : Application to communication, Commun Nonlinear Sci Simul, 14, 2765, ; VOLOS (2012), A chaotic path planning generator for autonomous mobile robots, Robot Auto Systems, 60, 651, ; LORENZ (1963), Deterministic non - periodic flow, Sciences, 20, 130. ; MA (2001), Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system ( II ) ed, Appl Math Mech English, 22, 1375, ; SUNDARAPANDIAN (2012), Analysis control synchronization and circuit design of a novel chaotic system Modelling, Math Comp, 55, 1904, ; VOLOS (2011), Nonlinear financial dynamics from an engineer s point of view of and, Engineering Science Technology Review, 4, 281. ; KHALIL (2001), Nonlinear systems rd edn New Jersey, USA. ; CASPERSON (1988), Gas laser instabilities and their interpretation In of the NATO Advanced Study Institute Springer Verlag, Proc, 83. ; VOLOS (2013), Image encryption process based on chaotic synchronization phenomena, Signal Process, 93, 328, ; VOLOS (2012), Synchronization phenomena in coupled nonlinear systems applied in economic cycles, WSEAS Trans Syst, 11, 681. ; MOON (1987), Chaotic vibrations : An introduction for applied scientists and engineers, USA. ; BUSCARINO (2009), Experimental robust synchronization of hyperchaotic circuits, Physica D, 238, 1917, ; GAO (2009), Chaos and Hopf bifurcation of a finance system, Nonlinear Dynam, 58, 209, ; SADOUDI (2013), Design and FPGA implementation of a wireless hyperchaotic communication system for secure realtime image transmission Image and Video Processing, EURASIP, 943. ; STROGATZ (2001), Nonlinear dynamics and chaos : With applications to physics biology chemistry and engineering Westview Press, USA. ; WOLF (1985), Determining Lyapunov exponents from a time series, Physica D, 16, 285, ; YALCIN (2004), True random bit generation from a double - scroll attractor, IEEE Trans Circuits Syst Reg Papers, 51, 1395, ; MA (2001), Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system ed, Appl Math Mech English, 22, 1240, ; BOUALI (2012), Emulating complex business cycles by using an electronic analogue Real World Applications, Nonl Anal, 13, 2459, ; JEFFRIES (1983), Direct observation of crises of the chaotic attractor in a nonlinear oscillator, Phys Rev A, 27, 601,