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Volume: 22, Issue: 4 (April 2012)
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THEME SECTION: Fractional Dynamics and Control |
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INTRODUCTION
CHANGPIN LI, YANG QUAN CHEN, BLAS M. VINAGRE and IGOR PODLUBNY
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THEME SECTION: Fractional Dynamics and Control — Tutorials and Reviews |
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STABILITY OF CLOSED LOOP FRACTIONAL ORDER SYSTEMS AND DEFINITION OF DAMPING CONTOURS FOR THE DESIGN OF CONTROLLERS
PATRICK LANUSSE, ALAIN OUSTALOUP and VALERIE POMMIER-BUDINGER
DOI No: 10.1142/S02181274123001331230013 (14 Pages)
Abstract | Full Text (PDF, 2467KB)
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FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
CHANGPIN LI and FANHAI ZENG
DOI No: 10.1142/S02181274123001451230014 (28 Pages)
Abstract | Full Text (PDF, 604KB)
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EXPERIENCES ON AN INTERNET LINK CHARACTERIZATION AND NETWORKED CONTROL OF A SMART WHEEL
INÉS TEJADO, BLAS M. VINAGRE, MIGUEL ROMERO, ÁNGEL P. DE MADRID and YANGQUAN CHEN
DOI No: 10.1142/S02181274123001571230015 (17 Pages)
Abstract | Full Text (PDF, 1165KB)
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THEME SECTION: Fractional Dynamics and Control — Papers |
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GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY
SACHIN BHALEKAR, VARSHA DAFTARDAR-GEJJI, DUMITRU BALEANU and RICHARD MAGIN
DOI No: 10.1142/S021812741250071X1250071 (15 Pages)
Abstract | Full Text (PDF, 619KB)
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CHAOS IN FRACTIONAL-ORDER POPULATION MODEL
IVO PETRÁŠ
DOI No: 10.1142/S02181274125007211250072 (6 Pages)
Abstract | Full Text (PDF, 522KB)
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STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS
ROBERTO GARRAPPA
DOI No: 10.1142/S02181274125007331250073 (13 Pages)
Abstract | Full Text (PDF, 305KB)
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ON THE DNA OF ELEVEN MAMMALS
J. TENREIRO MACHADO, ANTÓNIO C. COSTA and MARIA DULCE QUELHAS
DOI No: 10.1142/S02181274125007451250074 (8 Pages)
Abstract | Full Text (PDF, 220KB)
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HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2
ERCILIA SOUSA
DOI No: 10.1142/S02181274125007571250075 (13 Pages)
Abstract | Full Text (PDF, 237KB)
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ON IMPACT SCRIPTS WITH BOTH FRACTIONAL AND DRY FRICTION TYPE OF DISSIPATION
NENAD GRAHOVAC, MIODRAG ZIGIC and DRAGAN SPASIC
DOI No: 10.1142/S02181274125007691250076 (10 Pages)
Abstract | Full Text (PDF, 325KB)
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EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
CHUNHAI KOU, HUACHENG ZHOU and CHANGPIN LI
DOI No: 10.1142/S02181274125007701250077 (12 Pages)
Abstract | Full Text (PDF, 238KB)
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THE INCREMENTAL RATIO BASED CAUSAL FRACTIONAL CALCULUS
MANUEL D. ORTIGUEIRA, MARGARITA RIVERO and JUAN J. TRUJILLO
DOI No: 10.1142/S02181274125007821250078 (9 Pages)
Abstract | Full Text (PDF, 220KB)
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A NONSTANDARD FINITE DIFFERENCE SCHEME FOR TWO-SIDED SPACE-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
SHAHER MOMANI, ABDULLAH ABU RQAYIQ and DUMITRU BALEANU
DOI No: 10.1142/S02181274125007941250079 (5 Pages)
Abstract | Full Text (PDF, 178KB)
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MULTIFRACTIONAL PROPERTY ANALYSIS OF HUMAN SLEEP EEG SIGNALS
HU SHENG, YANGQUAN CHEN and TIANSHUANG QIU
DOI No: 10.1142/S02181274125008001250080 (10 Pages)
Abstract | Full Text (PDF, 863KB)
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A FRACTIONAL ORDER UNIVERSAL HIGH GAIN ADAPTIVE STABILIZER
YAN LI and YANGQUAN CHEN
DOI No: 10.1142/S02181274125008121250081 (13 Pages)
Abstract | Full Text (PDF, 367KB)
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FRACTIONAL ORDER SPECTRA AND THEIR APPLICATION IN THE THEORY OF VISCOELASTICITY
KAI-XIN HU and KE-QIN ZHU
DOI No: 10.1142/S02181274125008241250082 (8 Pages)
Abstract | Full Text (PDF, 228KB)
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STOCHASTIC HOPF BIFURCATION OF QUASI-INTEGRABLE HAMILTONIAN SYSTEMS WITH FRACTIONAL DERIVATIVE DAMPING
F. HU, W. Q. ZHU and L. C. CHEN
DOI No: 10.1142/S02181274125008361250083 (13 Pages)
Abstract | Full Text (PDF, 1505KB)
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ON STABILITY OF COMMENSURATE FRACTIONAL ORDER SYSTEMS
JOCELYN SABATIER and CHRISTOPHE FARGES
DOI No: 10.1142/S02181274125008481250084 (8 Pages)
Abstract | Full Text (PDF, 314KB)
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FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
HONGGUANG SUN, WEN CHEN, CHANGPIN LI and YANGQUAN CHEN
DOI No: 10.1142/S021812741250085X1250085 (16 Pages)
Abstract | Full Text (PDF, 555KB)
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EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
FENG JIAO and YONG ZHOU
DOI No: 10.1142/S02181274125008611250086 (17 Pages)
Abstract | Full Text (PDF, 349KB)
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PATTERN FORMATION IN FRACTIONAL REACTION–DIFFUSION SYSTEMS WITH MULTIPLE HOMOGENEOUS STATES
BOHDAN DATSKO, YURY LUCHKO and VASYL GAFIYCHUK
DOI No: 10.1142/S02181274125008731250087 (10 Pages)
Abstract | Full Text (PDF, 494KB)
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CHAOS IN DIFFUSIONLESS LORENZ SYSTEM WITH A FRACTIONAL ORDER AND ITS CONTROL
YONG XU, RENCAI GU, HUIQING ZHANG and DONGXI LI
DOI No: 10.1142/S02181274125008851250088 (8 Pages)
Abstract | Full Text (PDF, 1976KB)
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DEALING WITH FRACTIONAL DYNAMICS OF IP NETWORK DELAYS
INÉS TEJADO, S. HASSAN HOSSEINNIA, BLAS M. VINAGRE, XIAONA SONG and YANGQUAN CHEN
DOI No: 10.1142/S02181274125008971250089 (13 Pages)
Abstract | Full Text (PDF, 2782KB)
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MEAN EXIT TIME AND ESCAPE PROBABILITY FOR A TUMOR GROWTH SYSTEM UNDER NON-GAUSSIAN NOISE
JIAN REN, CHUJIN LI, TING GAO, XINGYE KAN and JINQIAO DUAN
DOI No: 10.1142/S02181274125009031250090 (10 Pages)
Abstract | Full Text (PDF, 259KB)
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Tutorials and Reviews |
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KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
ROBERTO BARRIO, ANDREY SHILNIKOV and LEONID SHILNIKOV
DOI No: 10.1142/S02181274123001691230016 (24 Pages)
Abstract | Full Text (PDF, 1998KB)
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Papers |
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CHAOS OF THE PROPAGATING PULSE WAVE IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS
KYOHEI KAMIYAMA and TETSURO ENDO
DOI No: 10.1142/S02181274125009151250091 (7 Pages)
Abstract | Full Text (PDF, 1036KB)
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DYNAMICS OF A PREY-DEPENDENT DIGESTIVE MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL
LINNING QIAN, QISHAO LU, JIARU BAI and ZHAOSHENG FENG
DOI No: 10.1142/S02181274125009271250092 (11 Pages)
Abstract | Full Text (PDF, 1193KB)
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ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
ALBERT C. J. LUO and JIANZHE HUANG
DOI No: 10.1142/S02181274125009391250093 (29 Pages)
Abstract | Full Text (PDF, 4293KB)
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SCALE-FREE LUBY TRANSFORM CODES
YULI ZHAO, FRANCIS C. M. LAU, ZHILIANG ZHU and HAI YU
DOI No: 10.1142/S02181274125009401250094 (11 Pages)
Abstract | Full Text (PDF, 337KB)
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MULTIPLE SOLUTIONS OF A GENERALIZED SINGULAR PERTURBED BRATU PROBLEM
TAOUFIK BAKRI, YURI A. KUZNETSOV, FERDINAND VERHULST and EUSEBIUS DOEDEL
DOI No: 10.1142/S02181274125009521250095 (10 Pages)
Abstract | Full Text (PDF, 452KB)
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A SPECTRAL RADIUS ESTIMATE AND ENTROPY OF HYPERCUBES
WILLIAM GELLER, BRUCE KITCHENS, MICHAŁ MISIUREWICZ and MICHAŁ RAMS
DOI No: 10.1142/S02181274125009641250096 (6 Pages)
Abstract | Full Text (PDF, 159KB)
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THE FIRST "LOST" INTERNATIONAL CONFERENCE ON NONLINEAR OSCILLATIONS (I.C.N.O.)
JEAN-MARC GINOUX
DOI No: 10.1142/S02181274125009761250097 (8 Pages)
Abstract | Full Text (PDF, 255KB)
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NEURONS ARE POISED NEAR THE EDGE OF CHAOS
LEON CHUA, VALERY SBITNEV and HYONGSUK KIM
DOI No: 10.1142/S02181274125009881250098 (49 Pages)
Abstract | Full Text (PDF, 7740KB)
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