(1) Four oscillators are arranged in two groups (Group I and Group II). The oscillators within a group connected with a coupling strength of and across with a coupling strength of . With and , find...

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(1) Four oscillators are arranged in two groups (Group I and Group II). The oscillators within a group connected with a coupling strength of and across with a coupling strength of . With and , find the values such the oscillators within the group are synchronized to each other whereas out of phase with the oscillators with the other group. (2) Two signals given in sr.txt and sp.txt are collected at the same time, however signal in sp.txt is collected at a uniform sampling whereas signal in sr.txt has non uniform sampling. The signals are nonstationary in nature. (a) Develop an algorithm to check whether these signals exhibit phase locking at any regions in time (b) Develop an algorithm using wavelet to determine the time varying nature of maximum coherence 1.0000000e+003 4.0191360e-003 1.0000100e+003 2.6794240e-003 1.0000200e+003 -9.3779840e-003 1.0000300e+003 -1.2057408e-002 1.0000400e+003 -1.3397120e-002 1.0000500e+003 -2.6794240e-002 1.0000600e+003 -2.8133952e-002 1.0000700e+003 -2.6794240e-002 1.0000800e+003 -3.2153088e-002 1.0000900e+003 -3.6172224e-002 1.0001000e+003 -3.6172224e-002 1.0001100e+003 -3.7511936e-002 1.0001200e+003 -4.2870784e-002 1.0001300e+003 -3.8851648e-002 1.0001400e+003 -3.7511936e-002 1.0001500e+003 -4.0191360e-002 1.0001600e+003 -3.4832512e-002 1.0001700e+003 -3.4832512e-002 1.0001800e+003 -3.4832512e-002 1.0001900e+003 -2.9473664e-002 1.0002000e+003 -2.1435392e-002 1.0002100e+003 -2.4114816e-002 1.0002200e+003 -2.6794240e-002 1.0002300e+003 -2.0095680e-002 1.0002400e+003 -2.0095680e-002 1.0002500e+003 -2.1435392e-002 1.0002600e+003 -1.8755968e-002 1.0002700e+003 -1.4736832e-002 1.0002800e+003 -1.2057408e-002 1.0002900e+003 -1.4736832e-002 1.0003000e+003 -1.8755968e-002 1.0003100e+003 -1.7416256e-002 1.0003200e+003 -2.2775104e-002 1.0003300e+003 -1.6076544e-002 1.0003400e+003 -1.6076544e-002 1.0003500e+003 -2.4114816e-002 1.0003600e+003 -2.0095680e-002 1.0003700e+003 -2.5454528e-002 1.0003800e+003 -2.0095680e-002 1.0003900e+003 -1.7416256e-002 1.0004000e+003 -9.3779840e-003 1.0004100e+003 -1.3397120e-003 1.0004200e+003 -5.3588480e-003 1.0004300e+003 1.3397120e-003 1.0004400e+003 1.2057408e-002 1.0004500e+003 9.3779840e-003 1.0004600e+003 6.6985600e-003 1.0004700e+003 1.8755968e-002 1.0004800e+003 2.4114816e-002 1.0004900e+003 2.9473664e-002 1.0005000e+003 4.5550208e-002 1.0005100e+003 6.1626752e-002 1.0005200e+003 7.9043008e-002 1.0005300e+003 8.9760704e-002 1.0005400e+003 1.0324156e-001 1.0005500e+003 1.1529896e-001 1.0005600e+003 1.1797839e-001 1.0005700e+003 1.3673436e-001 1.0005800e+003 1.4879176e-001 1.0005900e+003 1.5013148e-001 1.0006000e+003 1.5950946e-001 1.0006100e+003 1.7156687e-001 1.0006200e+003 1.7826543e-001 1.0006300e+003 1.7960514e-001 1.0006400e+003 1.9032284e-001 1.0006500e+003 1.9970082e-001 1.0006600e+003 2.0238024e-001 1.0006700e+003 2.0639938e-001 1.0006800e+003 2.1443765e-001 1.0006900e+003 2.1443765e-001 1.0007000e+003 2.0773909e-001 1.0007100e+003 2.0773909e-001 1.0007200e+003 1.9836111e-001 1.0007300e+003 1.9166255e-001 1.0007400e+003 1.9032284e-001 1.0007500e+003 1.8630370e-001 1.0007600e+003 1.7960514e-001 1.0007700e+003 1.7156687e-001 1.0007800e+003 1.7558600e-001 1.0007900e+003 1.6754773e-001 1.0008000e+003 1.6084917e-001 1.0008100e+003 1.6084917e-001 1.0008200e+003 1.5415061e-001 1.0008300e+003 1.5147119e-001 1.0008400e+003 1.4075349e-001 1.0008500e+003 1.4075349e-001 1.0008600e+003 1.3539464e-001 1.0008700e+003 1.3271522e-001 1.0008800e+003 1.3941378e-001 1.0008900e+003 1.3271522e-001 1.0009000e+003 1.3003580e-001 1.0009100e+003 1.2601666e-001 1.0009200e+003 1.2735637e-001 1.0009300e+003 1.2333724e-001 1.0009400e+003 1.2199752e-001 1.0009500e+003 1.1931810e-001 1.0009600e+003 1.0994012e-001 1.0009700e+003 1.1395925e-001 1.0009800e+003 1.1261954e-001 1.0009900e+003 1.0592098e-001 1.0010000e+003 1.0056213e-001 1.0010100e+003 9.9222420e-002 1.0010200e+003 9.3863572e-002 1.0010300e+003 8.3062144e-002 1.0010400e+003 8.1722432e-002 1.0010500e+003 7.5023872e-002 1.0010600e+003 6.6985600e-002 1.0010700e+003 6.8325312e-002 1.0010800e+003 6.6985600e-002 1.0010900e+003 5.8947328e-002 1.0011000e+003 5.4928192e-002 1.0011100e+003 5.8947328e-002 1.0011200e+003 5.4928192e-002 1.0011300e+003 4.6889920e-002 1.0011400e+003 4.5550208e-002 1.0011500e+003 4.8229632e-002 1.0011600e+003 4.9569344e-002 1.0011700e+003 4.0191360e-002 1.0011800e+003 4.1531072e-002 1.0011900e+003 4.5550208e-002 1.0012000e+003 3.8851648e-002 1.0012100e+003 3.7511936e-002 1.0012200e+003 3.8851648e-002 1.0012300e+003 3.7511936e-002 1.0012400e+003 3.7511936e-002 1.0012500e+003 3.3492800e-002 1.0012600e+003 2.8133952e-002 1.0012700e+003 3.3492800e-002 1.0012800e+003 3.4832512e-002 1.0012900e+003 3.0813376e-002 1.0013000e+003 2.6794240e-002 1.0013100e+003 2.2775104e-002 1.0013200e+003 2.6794240e-002 1.0013300e+003 2.2775104e-002 1.0013400e+003 2.0095680e-002 1.0013500e+003 2.8133952e-002 1.0013600e+003 2.4114816e-002 1.0013700e+003 2.1435392e-002 1.0013800e+003 2.4114816e-002 1.0013900e+003 2.6794240e-002 1.0014000e+003 2.0095680e-002 1.0014100e+003 1.4736832e-002 1.0014200e+003 1.8755968e-002 1.0014300e+003 1.6076544e-002 1.0014400e+003 1.3397120e-002 1.0014500e+003 1.3397120e-002 1.0014600e+003 2.0095680e-002 1.0014700e+003 1.8755968e-002 1.0014800e+003 1.8755968e-002 1.0014900e+003 2.5454528e-002 1.0015000e+003 2.2775104e-002 1.0015100e+003 2.8133952e-002 1.0015200e+003 3.2153088e-002 1.0015300e+003 3.6172224e-002 1.0015400e+003 4.2870784e-002 1.0015500e+003 4.1531072e-002 1.0015600e+003 4.5550208e-002 1.0015700e+003 4.8229632e-002 1.0015800e+003 5.0909056e-002 1.0015900e+003 5.4928192e-002 1.0016000e+003 5.3588480e-002 1.0016100e+003 5.4928192e-002 1.0016200e+003 6.2966464e-002 1.0016300e+003 6.8325312e-002 1.0016400e+003 6.9665024e-002 1.0016500e+003 7.3684160e-002 1.0016600e+003 8.5741568e-002 1.0016700e+003 9.2523860e-002 1.0016800e+003 9.7882708e-002 1.0016900e+003 1.0726069e-001 1.0017000e+003 1.1663868e-001 1.0017100e+003 1.2601666e-001 1.0017200e+003 1.3405493e-001 1.0017300e+003 1.3807407e-001 1.0017400e+003 1.4075349e-001 1.0017500e+003 1.4611234e-001 1.0017600e+003 1.5147119e-001 1.0017700e+003 1.4477263e-001 1.0017800e+003 1.3941378e-001 1.0017900e+003 1.3941378e-001 1.0018000e+003 1.3539464e-001 1.0018100e+003 1.3137551e-001 1.0018200e+003 1.3003580e-001 1.0018300e+003 1.2467695e-001 1.0018400e+003 1.1797839e-001 1.0018500e+003 1.1529896e-001 1.0018600e+003 1.1127983e-001 1.0018700e+003 1.0860040e-001 1.0018800e+003 1.0726069e-001 1.0018900e+003 1.0190184e-001 1.0019000e+003 9.2523860e-002 1.0019100e+003 8.9760704e-002 1.0019200e+003 8.7081280e-002 1.0019300e+003 8.1722432e-002 1.0019400e+003 7.2344448e-002 1.0019500e+003 6.1626752e-002 1.0019600e+003 6.5645888e-002 1.0019700e+003 5.6267904e-002 1.0019800e+003 4.6889920e-002 1.0019900e+003 4.6889920e-002 1.0020000e+003 4.6889920e-002 1.0020100e+003 4.1531072e-002 1.0020200e+003 3.4832512e-002 1.0020300e+003 3.6172224e-002 1.0020400e+003 2.5454528e-002 1.0020500e+003 2.4114816e-002 1.0020600e+003 2.0095680e-002 1.0020700e+003 9.3779840e-003 1.0020800e+003 5.3588480e-003 1.0020900e+003 2.6794240e-003 1.0021000e+003 0.0000000e+000 1.0021100e+003 -2.6794240e-003 1.0021200e+003 -8.0382720e-003 1.0021300e+003 -1.2057408e-002 1.0021400e+003 -1.2057408e-002 1.0021500e+003 -2.0095680e-002 1.0021600e+003 -2.8133952e-002 1.0021700e+003 -2.8133952e-002 1.0021800e+003 -3.0813376e-002 1.0021900e+003 -4.0191360e-002 1.0022000e+003 -3.8851648e-002 1.0022100e+003 -3.4832512e-002 1.0022200e+003 -4.4210496e-002 1.0022300e+003 -4.4210496e-002 1.0022400e+003 -4.4210496e-002 1.0022500e+003 -5.4928192e-002 1.0022600e+003 -5.0909056e-002 1.0022700e+003 -4.8229632e-002 1.0022800e+003 -4.8229632e-002 1.0022900e+003 -4.8229632e-002 1.0023000e+003 -5.0909056e-002 1.0023100e+003 -4.4210496e-002 1.0023200e+003 -4.0191360e-002 1.0023300e+003 -3.6172224e-002 1.0023400e+003 -3.0813376e-002 1.0023500e+003 -3.2153088e-002 1.0023600e+003 -2.4114816e-002 1.0023700e+003 -1.7416256e-002 1.0023800e+003 -1.7416256e-002 1.0023900e+003 -1.3397120e-002 1.0024000e+003 -1.4736832e-002 1.0024100e+003 -1.8755968e-002 1.0024200e+003 -1.7416256e-002 1.0024300e+003 -1.8755968e-002 1.0024400e+003 -2.4114816e-002 1.0024500e+003 -2.4114816e-002 1.0024600e+003 -2.4114816e-002 1.0024700e+003 -2.2775104e-002 1.0024800e+003 -2.2775104e-002 1.0024900e+003 -2.5454528e-002 1.0025000e+003 -2.4114816e-002 1.0025100e+003 -1.8755968e-002 1.0025200e+003 -1.6076544e-002 1.0025300e+003 -2.0095680e-002 1.0025400e+003 -1.3397120e-002 1.0025500e+003 -1.0717696e-002 1.0025600e+003 -1.3397120e-002 1.0025700e+003 -4.0191360e-003 1.0025800e+003 -4.0191360e-003 1.0025900e+003 -6.6985600e-003 1.0026000e+003 2.6794240e-003 1.0026100e+003 5.3588480e-003 1.0026200e+003 1.0717696e-002 1.0026300e+003 1.4736832e-002 1.0026400e+003 1.4736832e-002 1.0026500e+003 1.3397120e-002 1.0026600e+003 1.4736832e-002 1.0026700e+003 1.4736832e-002 1.0026800e+003 9.3779840e-003 1.0026900e+003 1.3397120e-002 1.0027000e+003 9.3779840e-003 1.0027100e+003 9.3779840e-003 1.0027200e+003 1.2057408e-002 1.0027300e+003 9.3779840e-003 1.0027400e+003 2.0095680e-002 1.0027500e+003 1.8755968e-002 1.0027600e+003 1.6076544e-002 1
Answered 13 days AfterDec 01, 2021

Answer To: (1) Four oscillators are arranged in two groups (Group I and Group II). The oscillators within a...

Sathishkumar answered on Dec 14 2021
123 Votes
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