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Motivation

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Motivation 107 ....10-4 10-6 10-9 10-15 Classical Astro Nano/Micro Quantum Problem 1: Synchronization (Seizure) Brain Dynamics: Chaotic L. Iasemidis, ASU ... – PowerPoint PPT presentation

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Title: Motivation


1
Motivation
107.
...10-4
10-6
10-9
10-15
Classical
Astro
Nano/Micro
Quantum
2
Motivation
107.
...10-4
10-6
10-9
10-15
?
NLD
Inaccessibility
3
Astrophysical systems
Inaccessible systems
4
Motivation
107.
...10-4
10-6
10-9
10-15
?
NLD
Inaccessibility
Impossible Experiment
5
Aim Dynamical aspects of solar activities
Inaccessible systems
6
Sun
7
Sunspots
Sunspots dark spots on the surface of the Sun
due to intense magnetic field activity.
Durations typically last for several days,
although very large ones may live for several
weeks. Sizes around 200-80000KM First
observation 346 BC Gan De (China)
8
Bangladesh, 2004
9
Sunspot Number cycle
Source Wikipedia Nasas prediction
10
Sunspot Number cycle
11
http//sidc.oma.be/sunspot-data/
S.No . T N SSN 1
1998.25 1665 54 2 1998.71 1314 69 3
1998.91 789 75 4 1999.11 1927 84 5
1999.41 2716 92 6 1999.73 1139 104 7
1999.94 1404 111 8 2000.15 3075 117 9
2000.88 1580 113 10 2001.40 1315 110 11
2002.03 3329 113 12 2002.41 3417
107 13 2003.03 789 81 14 2003.24 1840
72 15 2003.90 2633 54 16 2005.33 2541
30 17 2006.45 2278 16 18 2008.39 2108
3.5
12
Solar wind data
Solar Wind Ion Composition Spectrometer ACE
13
Permutation Entropy
Time series xi ,i 1,2,,N
Embedded m-dimensional Space Xixi,xi1,..,xi
(m-1)
  • Arranged in ascending order
  • Xixik1,xik2,..,xikm
  • kj0,.,m-1
  • m! permutation
  • Each Xi gt (0,1,..m-1) symbols
  • Pj P1 P2 P3 Pj jm!

Bandt Pompe, PRL 88, 174101 (2002)
14
Permutation Entropy
Bandt Pompe, PRL 88, 174101 (2002)
15
Application in known dynamical systems
16
Prasad et al. Pramana J. Phys. 64, 513 (2005)
17
Suyal, Prasad, Singh, Solar Phys. 276, 407 (2012)
18
Hysteresis in sloar activity
Suyal, Prasad, Singh, Solar Phys. 276, 407 (2012)
19
Sunspot Number cycle
Lypunov exponents,dimension,entropy, dynamical
variability/correlation Macek group, CSF, 8,1601
(1997),9,221(1998) PRE, 62 6496 (2000).
Planet. Space Sci. 56, 550 (2008) Planet. Space
Sci. 62, 55(2012) Solar Phys. 276, 407 (2012)
20
Nonlinear Dynamics at Micro/Nano scales
107.
...10-4
10-6
10-9
10-15
?
?
NLD
Inaccessibility
Technological Limitations
Impossible Experiment
21
Fractal dimension in micro/nano scaleTape peeling
Persson et. al. Euro. Phys. Lett. 92, 46001 (2010)
22
Fractal Dimension Nano scale - tape peeling
df2.3
Persson et. al. Euro. Phys. Lett. 92, 46001 (2010)
23
AFM image of irradiated and etched PET (Poly
ethylene terephthalate) film
Macro to micro/nano
24
Cell configuration
A D-Compartments of cell B C- Platinum
electrodes F- Porous PET film
25
Dynamics
Phys. Lett A 376, 1915 (2012), Solid State
Electronics 225, 751 (2012)
26
I-V Measurements Li-Mg
Li Mg Polymer Gel Electrolyte
(PGE) Conductivity LiPGE gt MgPGE pH LiPGE
MgPGE
27
Bifurcation diagram
28
Dynamics
Rawat, Bernamala, Prasad Chandra, Phys. Lett A
376, 1915 (2012), Solid State Electronics 225,
751 (2012)
29
Nonlinear dynamics in meso and nano scales
Marcos G. E. da Luz and Celia Anteneodo Phil.
Trans. R. Soc. A 369, 245 (2011).
30
Summary
NLD in all scales but promising in Micro/Nano
scales systems because it can be reproduced in
Laboratory for applications
31
Human brain
32
Onset of a temporal lobe epileptic
seizureElectroencephalogram (EEG)
33
Neurons
34
Problem 1 Synchronization(Seizure)
Brain Dynamics Chaotic L. Iasemidis, ASU, Tempe,
USA
35
Prediction/charaterization
36
Prediction/charaterization
EEG
37
Thanks
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