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A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VII: ISLES OF EDEN

LEON O. CHUA, JUNBIAO GUAN, VALERY I. SBITNEV, JINWOOK SHIN
2007 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
In particular, the period "T " of all attractors of rules 90 , 105 and 150 , as well as of all isles of Eden of rules 105 and 150 , increases linearly with unit slope, in logarithmic scale, with the length  ...  This paper continues our quest to develop a rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective.  ...  Part IV: From Bernoulli shift to 1/f spectrum [Chua et al., 2005a] Part V: Fractals everywhere [Chua et al., 2005b] Part VI: From Time-reversible attractors to the arrow of time Local rules and  ... 
doi:10.1142/s0218127407019068 fatcat:gzrkxt3brzezvnzj5nkejljbxy

A universal circuit for studying and generating chaos. II. Strange attractors

L.O. Chua, C.W. Wu, A. Huang, G.-Q. Zhong
1993 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
To further illustrate the complexity of Chua's oscillator, we also include a gallery of the many attractors found in Chua's oscillator.  ...  Abstmct-In a companion paper [l], we have shown how Chua's oscillator is topologically conjugate to a class of 3-D systems.  ...  Pivka for his help in the preparation of this manuscript.  ... 
doi:10.1109/81.246150 fatcat:7dljeahcvza5xjvegkknndjhlm

A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XII: PERIOD-3, PERIOD-6, AND PERMUTIVE RULES

LEON O. CHUA, GIOVANNI E. PAZIENZA
2009 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
This 12th part of our Nonlinear Dynamics Perspective of Cellular Automata concludes a series of three articles devoted to CA local rules having robust ω-limit orbits.  ...  Finally, we propose a new list of the 88 globally-independent local rules, which is slightly different from the one we have used so far but has the great advantage of being via a rigorous methodology and  ...  Acknowledgement This work is supported in part by the Hungarian Academy of Science and the USA Office of Naval Research under grant no. N000 14-09-1-0411. The authors thank Dr. J.  ... 
doi:10.1142/s0218127409025365 fatcat:jyd5densjvaezn446e7xadsjcm

ABC (adventures in bifurcations and chaos): A program for studying chaos

Michael P. Kennedy
1994 Journal of the Franklin Institute  
sequences, periodic orbits, homoclinic and heteroclinic orbits and a plethoru of chaotic attractors.  ...  Adventures in Bifiircations and Chaos" (ABC) is a user$iiendly program for IBM-compatible PCs which has been designed for exploring bifiircations and chaos in the Chua oscillator paradigm.  ...  Chaiwah Wu, of UC Berkeley, added the database to ABC and wrote the buffer and file-handling routines. He also wrote the section of this manuscript which describes these operations.  ... 
doi:10.1016/0016-0032(94)90084-1 fatcat:f5k4s2d52rardfg5mpuiqju6sy

A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IX: QUASI-ERGODICITY

LEON O. CHUA, GIOVANNI EGIDIO PAZIENZA, LASZLO ORZO, VALERY I. SBITNEV, JINWOOK SHIN
2008 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
Then, we propose a classification of rules according to the presence of Isles of Eden, and prove that only 28 local rules out of 256 do not have any of them; this result sheds light on the importance of  ...  Our scientific odyssey through the theory of 1-D cellular automata is enriched by the definition of quasi-ergodicity, a new empirical property discovered by analyzing the time-1 return maps of local rules  ...  et al., 2002] , Part II [Chua et al., 2003] , Part III [Chua et al., 2004] , Part IV [Chua et al., 2005a] , Part V [Chua et al., 2005b] , Part VI [Chua et al., 2006] , Part VII [Chua et al., 2007a  ... 
doi:10.1142/s0218127408021853 fatcat:jh4dbxnalvf7rk24fnis6atpd4

READING COMPLEXITY IN CHUA'S OSCILLATOR THROUGH MUSIC. PART I: A NEW WAY OF UNDERSTANDING CHAOS

ELEONORA BILOTTA, STEFANIA GERVASI, PIETRO PANTANO
2005 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
The typical set of behavior of a dynamical system can be detailed as equilibrium points, limit cycles, strange attractors.  ...  in turn present the characteristics of dynamical systems from a perceptual point of view.  ...  Lorenzi, Psychology of programming and Artificial Intelligence PhD student, for the design and implementation of the website devoted to Chua's attractors; • Adriano Talarico, Arts and Humanities student  ... 
doi:10.1142/s0218127405012156 fatcat:p63k3dtlqbbpbd4ehczfniyoxu

Chua's oscillator: A compendium of chaotic phenomena

Ladislav Pivka, Chai Wah Wu, Anshan Huang
1994 Journal of the Franklin Institute  
C_ The FrankIln Institute 001&0032,'94 $7 OOfO 00 Pergamon Journal of the Frankhn Inrututc Elsewer Sc~encr Ltd Chua's Oscillator where C2 a=--, CL a = RG" dX x = ka(y-x-f(x)) 2 = k(X--y+z) dZ z = k(-fly  ...  ,-yz) f(x) = bx+l(a-b){lx+lI-1x-11)  ...  Acknowledgements This work was supported in part by the Office of Naval Research under grant N00014-89-J-1402, by the National Science Foundation under grant MIP 86-14000, and by the Joint Services Electronics  ... 
doi:10.1016/0016-0032(94)90087-6 fatcat:jvtjfuqvmzbdtpl6b3aus5ryfu

The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications

Albert Granados, Lluís Alsedà, Maciej Krupa
2017 SIAM Review  
64 The second part will be given by a relay of gain k.  ...  satisfying C.1–C.4 with a flat part.  ... 
doi:10.1137/140996598 fatcat:gimitn6x3vd5lckphc5xh2tfue

Community policing in Singapore

Mark Jian Neng Low
2012
Following an enhanced deployment of counter-terrorism discourse in the wake of 9/11, community policing was re-invented as part of a (re)bordering strategy to safeguard territorial sovereignty and social  ...  Firstly, community policing is located within the historical context of a modernising Singapore.  ...  Yet others could have taken my status as a future regular police officer to be an indication of my representation of the SPF vis-à-vis the VSC.  ... 
doi:10.14288/1.0105176 fatcat:sqd4kztwxbfrnb4utkueeukwza

Anthropogenic marine debris and its dynamics across peri-urban and urban mangroves on Penang Island, Malaysia [article]

Su Yin Chee, John Barry Gallagher, Jean Chai Yee, Danielle Carey, Yusri Yusup
2019 biorxiv/medrxiv   pre-print
Mangroves act as sinks to a variety of anthropogenic marine debris (AMD) forms. However, knowledge of their distribution and accumulation dynamics is limited.  ...  closer to the edge is increasingly sorted and lost to the water body in favour of smaller plastic items, for a constant wind field and irrespective of neap-spring phases.  ...  My research interest is focused on a wide range of cultural policy and the management of cultural heritage, such as gallery and museum histories, monuments and public art, cultural heritage, creative industries  ... 
doi:10.1101/756106 fatcat:m6oy4besircffmdhmffppw6yra

On Memristive Threshold Logic Memory Networks

Akshay Kumar Maan, University, My, Sima Dimitrijev
2018
The said memory networks also serve to shift focus from memory being a storage-only unit to being a computational unit as well, just as in the human brain.  ...  The principle of firing of neurons and connectivity of neuron networks gives rise to its generalized logical ability required to perform different cognitive tasks such as face recognition, object detection  ...  out of the CMOS layer and making them a part of the interconnect  ... 
doi:10.25904/1912/2639 fatcat:rq3atrihqzguxg3252zfsrdrhi

Architecture is co: an ethnography of architectural presentations and representations in Copenhagen

Dominik Hoehn, Apollo-University Of Cambridge Repository, Maryon McDonald
2022
The architects and other professionals that form part of the BLOXHUB community (as they call themselves) enact architecture through a variety of everyday practices that include producing oral and written  ...  In 2018, a building called BLOX was opened on Copenhagen's harbour front after more than a decade-long period of design, planning and construction.  ...  For that and many other reasons, many architects, related professionals and other persons I met in Denmark appeared to have taken a position vis-à-vis BLOX.  ... 
doi:10.17863/cam.80157 fatcat:qha5dc3tpzeqtbdzfqdt7wvztm

The Origin of the Curvilinear Plan-Form in Irish Ecclesiastical Sites: A Comparative Analysis of Sites in Ireland, Wales and France

Clare Crowley
2009
This is a covered gallery of shops that dates to the mid-nineteenth century which represented a 'modem' version of the workshops and stalls in the Medieval arcades on Rue des Hailes.  ...  work on Coventry in o .. 1000 Source: Lilley 2000, p.14 Coventry Ptan Units I Earl StN81 n Jordanw.t1 m NewStrHt IV Goaford Slreal V Part Streets VI NewGate VD Whlehiara vm Cheytoomore  ... 
doi:10.21427/d7n304 fatcat:b2vlyhkbina6npwlmnmh6oilri